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Finding the Fourth Proportional to 3,698.64, 5,516.66 and 3,207.78

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Solution

The fourth proportional to 3,698.64, 5,516.66 and 3,207.78 is: 4,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.64 : 5,516.66 = 3,207.78 : x
  2. Step 2: Convert to fraction form
    3,698.64/5,516.66 = 3,207.78/x
  3. Step 3: Cross multiply
    3,698.64x = 5,516.66 × 3,207.78
  4. Step 4: Simplify right side
    3,698.64x = 17,696,231.61
  5. Step 5: Solve for x
    x = 17,696,231.61/3,698.64
  6. Step 6: Final answer
    x = 4,784.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.